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Finding the Fourth Proportional to 83,568.16, 115,332.35 and 47,763.31

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Solution

The fourth proportional to 83,568.16, 115,332.35 and 47,763.31 is: 65,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,568.16 : 115,332.35 = 47,763.31 : x
  2. Step 2: Convert to fraction form
    83,568.16/115,332.35 = 47,763.31/x
  3. Step 3: Cross multiply
    83,568.16x = 115,332.35 × 47,763.31
  4. Step 4: Simplify right side
    83,568.16x = 5,508,654,786.08
  5. Step 5: Solve for x
    x = 5,508,654,786.08/83,568.16
  6. Step 6: Final answer
    x = 65,918.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.